Prepare Pizza Dough: Mix yeast, 3 cups flour, salt and sugar in a large bowl. Add the olive oil and water and beat until smooth. Gradually add more flour until dough is too stiff to stir. Turn dough out onto a lightly floured table. Knead until smooth and elastic, about 5 to 7 minutes. Dust with more flour as needed to keep the dough from sticking. The kneading can also be done in an electric mixer using the dough hook attachment. Knead on low speed for 3 to 4 minutes. Place the dough in an oiled bowl and turn dough to coat both sides. Cover with a cloth and then with a thick towel. Let it rise in a warm place 25 to 35 minutes, until doubled in size. When dough is almost ready, preheat oven to 500 degrees (a very hot oven works best).

Shape Pizza Dough: Place half of the dough on each baking sheet and press out to a 12 inch circle. Pinch up the edges to make a rim. Bake 10 minutes, until lightly browned.

Prepare Sauce and Assemble Pizza: Mix sauce ingredients in a small saucepan and simmer for 1 to 2 minutes. Spread half of the sauce on each of the two lightly browned crusts. Place mozzarella on top of the sauce and then distribute the toppings over the cheese. Bake 10 to 15 minutes more until the cheese is melted and the crust is well browned.